Li, Jinkai; Xin, Zhouping Local and global well-posedness of entropy-bounded solutions to the compressible Navier-Stokes equations in multi-dimensions. (English) Zbl 1525.35193 Sci. China, Math. 66, No. 10, 2219-2242 (2023). MSC: 35Q30 76N15 76N10 80A19 35B65 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{J. Li} and \textit{Z. Xin}, Sci. China, Math. 66, No. 10, 2219--2242 (2023; Zbl 1525.35193) Full Text: DOI
Wang, Yanjin; Xin, Zhouping Global well-posedness of the inviscid heat-conductive resistive compressible MHD in a strip domain. (English) Zbl 1513.35465 Commun. Math. Res. 38, No. 1, 1-27 (2022). MSC: 35Q35 76N10 76W05 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Z. Xin}, Commun. Math. Res. 38, No. 1, 1--27 (2022; Zbl 1513.35465) Full Text: DOI
Wang, Yanjin; Xin, Zhouping Global well-posedness of free interface problems for the incompressible inviscid resistive MHD. (English) Zbl 1477.35182 Commun. Math. Phys. 388, No. 3, 1323-1401 (2021). MSC: 35Q35 35Q60 76W05 76X05 35A01 35A02 35R35 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Z. Xin}, Commun. Math. Phys. 388, No. 3, 1323--1401 (2021; Zbl 1477.35182) Full Text: DOI arXiv
Wang, Yanjin; Xin, Zhouping Vanishing viscosity and surface tension limits of incompressible viscous surface waves. (English) Zbl 1459.35314 SIAM J. Math. Anal. 53, No. 1, 574-648 (2021). Reviewer: Mohamed Majdoub (Dammam) MSC: 35Q30 35Q31 35R35 76D03 35B40 76E17 76D05 76D45 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Z. Xin}, SIAM J. Math. Anal. 53, No. 1, 574--648 (2021; Zbl 1459.35314) Full Text: DOI arXiv
Xin, Zhouping; Xu, Jiang Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions. (English) Zbl 1454.76067 J. Differ. Equations 274, 543-575 (2021). MSC: 76N10 76N06 35Q30 PDFBibTeX XMLCite \textit{Z. Xin} and \textit{J. Xu}, J. Differ. Equations 274, 543--575 (2021; Zbl 1454.76067) Full Text: DOI arXiv
Li, Jinkai; Xin, Zhouping Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum. (English) Zbl 1433.35236 Adv. Math. 361, Article ID 106923, 50 p. (2020). MSC: 35Q30 76N10 35D35 35A01 35A02 76N15 PDFBibTeX XMLCite \textit{J. Li} and \textit{Z. Xin}, Adv. Math. 361, Article ID 106923, 50 p. (2020; Zbl 1433.35236) Full Text: DOI arXiv
Lei, Zhen; Xin, Zhouping On scaling invariance and type-I singularities for the compressible Navier-Stokes equations. (English) Zbl 1425.35136 Sci. China, Math. 62, No. 11, 2271-2286 (2019). MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{Z. Lei} and \textit{Z. Xin}, Sci. China, Math. 62, No. 11, 2271--2286 (2019; Zbl 1425.35136) Full Text: DOI arXiv
Li, Hai-Liang; Wang, Yuexun; Xin, Zhouping Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier-Stokes equations. (English) Zbl 1420.35193 Arch. Ration. Mech. Anal. 232, No. 2, 557-590 (2019). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 35Q35 35A09 76N10 PDFBibTeX XMLCite \textit{H.-L. Li} et al., Arch. Ration. Mech. Anal. 232, No. 2, 557--590 (2019; Zbl 1420.35193) Full Text: DOI arXiv
Jiu, Quansen; Wang, Yi; Xin, Zhouping Global classical solution to two-dimensional compressible Navier-Stokes equations with large data in \(\mathbb{R}^2\). (English) Zbl 1398.76193 Physica D 376-377, 180-194 (2018); corrigendum ibid. 414, Article ID 132726, 1 p. (2020). MSC: 76N10 35Q30 35A01 35A02 PDFBibTeX XMLCite \textit{Q. Jiu} et al., Physica D 376--377, 180--194 (2018; Zbl 1398.76193) Full Text: DOI arXiv
Mei, Yu; Wang, Yong; Xin, Zhouping Uniform regularity for the free surface compressible Navier-Stokes equations with or without surface tension. (English) Zbl 1383.35169 Math. Models Methods Appl. Sci. 28, No. 2, 259-336 (2018). MSC: 35Q35 35B65 76N10 35B40 35Q31 76N17 35R35 PDFBibTeX XMLCite \textit{Y. Mei} et al., Math. Models Methods Appl. Sci. 28, No. 2, 259--336 (2018; Zbl 1383.35169) Full Text: DOI arXiv
Luo, Tao; Xin, Zhouping; Zeng, Huihui Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities. (English) Zbl 1351.35227 Commun. Math. Phys. 347, No. 3, 657-702 (2016). MSC: 35Q85 76N10 85A05 35R35 35B40 76N17 35D30 35D35 PDFBibTeX XMLCite \textit{T. Luo} et al., Commun. Math. Phys. 347, No. 3, 657--702 (2016; Zbl 1351.35227) Full Text: DOI arXiv
Luo, Tao; Xin, Zhouping; Zeng, Huihui On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem. (English) Zbl 1344.35150 Adv. Math. 291, 90-182 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q85 35B35 76N10 85A05 35B65 35D35 35B40 PDFBibTeX XMLCite \textit{T. Luo} et al., Adv. Math. 291, 90--182 (2016; Zbl 1344.35150) Full Text: DOI arXiv
Jiu, Quansen; Wang, Yuexun; Xin, Zhouping Remarks on blow-up of smooth solutions to the compressible fluid with constant and degenerate viscosities. (English) Zbl 1319.35194 J. Differ. Equations 259, No. 7, 2981-3003 (2015). MSC: 35Q35 35B65 35B44 35Q31 76N10 PDFBibTeX XMLCite \textit{Q. Jiu} et al., J. Differ. Equations 259, No. 7, 2981--3003 (2015; Zbl 1319.35194) Full Text: DOI arXiv
Jiu, Quansen; Wang, Yi; Xin, Zhouping Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum. (English) Zbl 1308.35165 J. Math. Fluid Mech. 16, No. 3, 483-521 (2014). MSC: 35Q30 76D05 35B30 76N10 PDFBibTeX XMLCite \textit{Q. Jiu} et al., J. Math. Fluid Mech. 16, No. 3, 483--521 (2014; Zbl 1308.35165) Full Text: DOI arXiv
Luo, Tao; Xin, Zhouping; Zeng, Huihui Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation. (English) Zbl 1309.35065 Arch. Ration. Mech. Anal. 213, No. 3, 763-831 (2014). Reviewer: Laurent Thomann (Nantes) MSC: 35Q31 76N10 PDFBibTeX XMLCite \textit{T. Luo} et al., Arch. Ration. Mech. Anal. 213, No. 3, 763--831 (2014; Zbl 1309.35065) Full Text: DOI arXiv
Jiu, Quansen; Wang, Yi; Xin, Zhouping Global well-posedness of the Cauchy problem of two-dimensional compressible Navier-Stokes equations in weighted spaces. (English) Zbl 1283.35084 J. Differ. Equations 255, No. 3, 351-404 (2013). MSC: 35Q35 35A09 35Q30 76N10 PDFBibTeX XMLCite \textit{Q. Jiu} et al., J. Differ. Equations 255, No. 3, 351--404 (2013; Zbl 1283.35084) Full Text: DOI arXiv
Guo, Zhenhua; Xin, Zhouping Analytical solutions to the compressible Navier-Stokes equations with density-dependent viscosity coefficients and free boundaries. (English) Zbl 1239.35109 J. Differ. Equations 253, No. 1, 1-19 (2012). MSC: 35Q30 76D09 35R35 PDFBibTeX XMLCite \textit{Z. Guo} and \textit{Z. Xin}, J. Differ. Equations 253, No. 1, 1--19 (2012; Zbl 1239.35109) Full Text: DOI
Guo, Zhenhua; Li, Hai-Liang; Xin, Zhouping Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations. (English) Zbl 1233.35156 Commun. Math. Phys. 309, No. 2, 371-412 (2012). MSC: 35Q30 35R35 76B15 35D30 PDFBibTeX XMLCite \textit{Z. Guo} et al., Commun. Math. Phys. 309, No. 2, 371--412 (2012; Zbl 1233.35156) Full Text: DOI
Huang, Xiangdi; Xin, Zhouping A blow-up criterion for classical solutions to the compressible Navier-Stokes equations. (English) Zbl 1256.35059 Sci. China, Math. 53, No. 3, 671-686 (2010). MSC: 35Q30 35B44 76N10 PDFBibTeX XMLCite \textit{X. Huang} and \textit{Z. Xin}, Sci. China, Math. 53, No. 3, 671--686 (2010; Zbl 1256.35059) Full Text: DOI arXiv
Li, Hai-Liang; Li, Jing; Xin, Zhouping Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations. (English) Zbl 1173.35099 Commun. Math. Phys. 281, No. 2, 401-444 (2008). MSC: 35Q30 35B40 76N10 PDFBibTeX XMLCite \textit{H.-L. Li} et al., Commun. Math. Phys. 281, No. 2, 401--444 (2008; Zbl 1173.35099) Full Text: DOI arXiv
Xin, Zhouping; Yuan, Hongjun Vacuum state for spherically symmetric solutions of the compressible Navier-Stokes equations. (English) Zbl 1106.35054 J. Hyperbolic Differ. Equ. 3, No. 3, 403-442 (2006). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{Z. Xin} and \textit{H. Yuan}, J. Hyperbolic Differ. Equ. 3, No. 3, 403--442 (2006; Zbl 1106.35054) Full Text: DOI
Jiu, Quansen; Xin, Zhouping On strong convergence to 3D axisymmetric vortex sheets. (English) Zbl 1092.35087 J. Differ. Equations 223, No. 1, 33-50 (2006). Reviewer: Valeriu Al. Sava (Iaşi) MSC: 35Q35 76B03 76B47 PDFBibTeX XMLCite \textit{Q. Jiu} and \textit{Z. Xin}, J. Differ. Equations 223, No. 1, 33--50 (2006; Zbl 1092.35087) Full Text: DOI
Xin, Zhouping; Zhang, Ping On the uniqueness and large time behavior of the weak solutions to a shallow water equation. (English) Zbl 1034.35115 Commun. Partial Differ. Equations 27, No. 9-10, 1815-1844 (2002). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35Q35 35B40 76B15 76B03 PDFBibTeX XMLCite \textit{Z. Xin} and \textit{P. Zhang}, Commun. Partial Differ. Equations 27, No. 9--10, 1815--1844 (2002; Zbl 1034.35115) Full Text: DOI